8m-2(3m-6)m=

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Solution for 8m-2(3m-6)m= equation:


Simplifying
8m + -2(3m + -6) * m = 0

Reorder the terms:
8m + -2(-6 + 3m) * m = 0

Reorder the terms for easier multiplication:
8m + -2m(-6 + 3m) = 0
8m + (-6 * -2m + 3m * -2m) = 0
8m + (12m + -6m2) = 0

Combine like terms: 8m + 12m = 20m
20m + -6m2 = 0

Solving
20m + -6m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2m'.
2m(10 + -3m) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'm' equal to zero and attempt to solve: Simplifying m = 0 Solving m = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m = 0

Subproblem 2

Set the factor '(10 + -3m)' equal to zero and attempt to solve: Simplifying 10 + -3m = 0 Solving 10 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -3m = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3m = 0 + -10 -3m = 0 + -10 Combine like terms: 0 + -10 = -10 -3m = -10 Divide each side by '-3'. m = 3.333333333 Simplifying m = 3.333333333

Solution

m = {0, 3.333333333}

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